IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v47y2020i4p724-738.html
   My bibliography  Save this article

EM-test for homogeneity in a two-sample problem with a mixture structure

Author

Listed:
  • Guanfu Liu
  • Yuejiao Fu
  • Jianjun Zhang
  • Xiaolong Pu
  • Boying Wang

Abstract

In many applications such as case-control studies with contaminated controls, or the test of a treatment effect in the presence of nonresponders in biological experiments or clinical trials, a two-sample problem with one of the samples having a mixture structure often arises. Due to the importance and wide applications of scale mixtures and location mixtures, we consider in this paper the case that the component densities differ only in scale parameters and the case that the component densities differ only in location parameters, and further construct an EM-test for the two-sample problem under each case. We show that both the EM-tests possess a chi-squared null limiting distribution. The local power analysis and sample size calculations are also investigated. Finally, the simulation studies and real data analysis demonstrate that the proposed EM-tests have better performance than the existing methods.

Suggested Citation

  • Guanfu Liu & Yuejiao Fu & Jianjun Zhang & Xiaolong Pu & Boying Wang, 2020. "EM-test for homogeneity in a two-sample problem with a mixture structure," Journal of Applied Statistics, Taylor & Francis Journals, vol. 47(4), pages 724-738, March.
    • Handle: RePEc:taf:japsta:v:47:y:2020:i:4:p:724-738
    DOI: 10.1080/02664763.2019.1652254
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2019.1652254
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664763.2019.1652254?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:japsta:v:47:y:2020:i:4:p:724-738. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.